153235408231680 has 576 divisors, whose sum is σ = 521304802518528. Its totient is φ = 38227767459840.

The previous prime is 153235408231667. The next prime is 153235408231721. The reversal of 153235408231680 is 86132804532351.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17399269837 + ... + 17399278643.

It is an arithmetic number, because the mean of its divisors is an integer number (905043059928).

Almost surely, 2^{153235408231680} is an apocalyptic number.

153235408231680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153235408231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260652401259264).

153235408231680 is an abundant number, since it is smaller than the sum of its proper divisors (368069394286848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153235408231680 is a wasteful number, since it uses less digits than its factorization.

153235408231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 153235408231680 in words is "one hundred fifty-three trillion, two hundred thirty-five billion, four hundred eight million, two hundred thirty-one thousand, six hundred eighty".